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Finding the Fourth Proportional to 429.62, 644.14 and 210.16

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Solution

The fourth proportional to 429.62, 644.14 and 210.16 is: 315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.62 : 644.14 = 210.16 : x
  2. Step 2: Convert to fraction form
    429.62/644.14 = 210.16/x
  3. Step 3: Cross multiply
    429.62x = 644.14 × 210.16
  4. Step 4: Simplify right side
    429.62x = 135,372.46
  5. Step 5: Solve for x
    x = 135,372.46/429.62
  6. Step 6: Final answer
    x = 315.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.